Coexistence and persistence of strange attractors / Antonio Pumariño, Jose A. Rodríguez.

Format:

Book

Author/Creator:

Pumariño, Antonio, 1966-

Contributor:

Rodriguez, Jose A., 1955-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1658.

Lecture notes in mathematics ; 1658

Language:

English

Subjects (All):

Chaotic behavior in systems.

Physical Description:

viii, 194 pages : illustrations ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, 1997.

Summary:

Although chaotic behaviour had often been observed numerically earlier, the first mathematical proof of the existence, with positive probability (persistence) of strange attractors was given by Benedicks and Carleson for the Henon family, at the beginning of 1990's. Later, Mora and Viana demonstrated that a strange attractor is also persistent in generic one-parameter families of diffeomorphims on a surface which unfolds homoclinic tangency. This book is about the persistence of any number of strange attractors in saddle-focus connections. The coexistence and persistence of any number of strange attractors in a simple three-dimensional scenario are proved, as well as the fact that infinitely many of them exist simultaneously.

Notes:

Includes bibliographical references (pages [193]-194) and index.

ISBN:

3540627316

OCLC:

36817071